formula-derivation SKILL.md skillA

formula-derivation from wanshuiyin/auto-claude-code-research-in-sleep is an agent skill: a SKILL.md folder an AI agent loads when a task calls for it.

Install it, pinned
mdr add wanshuiyin/auto-claude-code-research-in-sleep/formula-derivation@git:20261006.7fa3a4f

Pins git:20261006.7fa3a4f in mdr.lock. Pin the fingerprint instead.

Audit grade
A, 17 of 17 checks passed
Kind
SKILL.md skill
Repository
wanshuiyin/auto-claude-code-research-in-sleep
Path
skills/skills-codex/formula-derivation/SKILL.md
Versions recorded
4
Latest version
git:20261006.7fa3a4f, committed Oct 6, 2026
First version recorded
Mar 20, 2026
Size
9,527 bytes
Repository stars
18,383
License
MIT

Structures and derives research formulas when the user wants to 推导公式, build a theory line, organize assumptions, turn scattered equations into a coherent derivation, or rewrite theory notes into a paper-ready formula document. Use when the derivation target is not yet fully fixed, the main object still needs to be chosen, or the user needs a coherent derivation package rather than a finished theorem proof.

Collected from public GitHub. Every version is saved exactly as it was and never changes. Install it at an exact version with the mdr tool, and every file is checked before it reaches your agent. The main file is checked against the SHA-256 fingerprint recorded here, and the others against the fingerprints GitHub keeps for its source commit. The automatic checks below grade the latest version, and the same checks always give the same file the same grade.

What the file says

# Formula Derivation: Research Theory Line Construction

Build an honest derivation package, not a fake polished theorem story.

## Constants

- DEFAULT_DERIVATION_DOC = `DERIVATION_PACKAGE.md` in project root
- STATUS = `COHERENT AS STATED | COHERENT AFTER REFRAMING / EXTRA ASSUMPTION | NOT YET COHERENT`

## Context: $ARGUMENTS

## Goal

Produce exactly one of:
1. a coherent derivation package for the original target
2. a reframed derivation package with corrected object / assumptions / scope
3. a blocker report explaining why the current notes cannot yet support a coherent derivation

## Inputs

Extract and normalize:
- the target phenomenon, formula, relation, or theory line
- the intended role of the derivation:
  - exact identity / algebra
  - proposition / local theorem
  - approximation
  - mechanism interpretation
- explicit assumptions
- notation and definitions
- any user-provided formula chain, sketch, messy notes, or current draft
- nearby local theory files if the request points to them
- desired output style if specified:
  - internal alignment note
  - paper-style theory draft
  - blocker report
…

Read the whole file at its exact version.

How to install

The exact contents, by fingerprint
mdr add wanshuiyin/auto-claude-code-research-in-sleep/formula-derivation@sha256:1958b1fe25459c36

The line at the top of this page pins the label git:20261006.7fa3a4f, which is what most people want. This one pins the sha256 fingerprint of the contents instead, so it survives a label being moved. Either way the exact version is written to mdr.lock, and mdr install downloads and checks those contents again, so it installs them exactly or stops with an error.

Badge

mdr badge

[![mdr](https://markdownregistry.com/badge/art_6itssz5sz4bn3loh.svg)](https://markdownregistry.com/a/art_6itssz5sz4bn3loh)

4 badge image fetches in 30 days. What the badge shows.

Versions

The registry has recorded 4 versions of this file, between Mar 20, 2026 and Oct 6, 2026, about one every 67 days.

versioncommittedcommitsizeaudit
git:20261006.7fa3a4f latest2026-10-06 7fa3a4f 9,527 BA view · diff
git:20260713.e67ae162026-07-13 e67ae16 9,261 BA view · diff
git:20260427.0aec5ea2026-04-27 0aec5ea 9,259 BA view · diff
git:20260320.79e43a52026-03-20 79e43a5 7,092 BA view

Audit of the latest version

A  17 of 17 checks passed. Fixed automatic checks with no AI involved, so the same checks give the same answer every run.
  • pass: Frontmatter block present
  • pass: Frontmatter declares a name
  • pass: Frontmatter declares a description
  • pass: Size between 200 bytes and 200 KB (9527 bytes)
  • pass: No zero-width or bidi control characters
  • pass: No instruction hidden inside an HTML comment
  • pass: No link to an exfiltration or paste host
  • pass: No credential-shaped string
  • pass: No instruction to send local credentials anywhere
  • pass: No text hidden with inline styles
  • pass: No prompt-injection phrasing
  • pass: No curl or wget piped into a shell
  • pass: No recursive delete of root, home or parent
  • pass: No instruction to read or print local credentials
  • pass: No base64 blob over 200 characters
  • pass: No link to a raw IP address
  • pass: No script tag

Source

GitHub

wanshuiyin/auto-claude-code-research-in-sleep · 18,383 stars · license MIT · pushed 2026-11-01 · branch main

API

GET https://markdownregistry.com/api/v1/artifacts/art_6itssz5sz4bn3loh
GET https://markdownregistry.com/api/v1/resolve?ref=wanshuiyin/auto-claude-code-research-in-sleep/formula-derivation
GET https://markdownregistry.com/api/v1/blob/1958b1fe25459c36ab937ea41650c743d829d83539d23c6bd19382e436cb5d8e

Your AI assistant does the legwork. You hear about the deals worth your word. Hand yours the standing instructions at modelranch.com and it joins the network that reads files like this one.

Guides: the SKILL.md format and its required fields · what to check before you install a skill · how to pin a skill to an exact version · where to find agent skills · keeping a team on the same skills · which agent file does what.

More from wanshuiyin/auto-claude-code-research-in-sleep

ablation-planner SKILL.md skill
wanshuiyin/auto-claude-code-research-in-sleep · skills/ablation-planner/SKILL.md · Use when main results pass result-to-claim (claim_supported=yes or partial) and ablation studies are needed for paper…
git:20260906.0472e53 · audit A · 18,383 stars
alphaxiv SKILL.md skill
wanshuiyin/auto-claude-code-research-in-sleep · skills/alphaxiv/SKILL.md · Quick single-paper lookup via AlphaXiv LLM-optimized summaries with tiered source fallback. Use when user says "explain…
git:20260929.2132036 · audit A · 18,383 stars
analyze-results SKILL.md skill
wanshuiyin/auto-claude-code-research-in-sleep · skills/analyze-results/SKILL.md · Analyze ML experiment results, compute statistics, generate comparison tables and insights. Use when user says "analyze…
git:20260713.e67ae16 · audit A · 18,383 stars
arxiv SKILL.md skill
wanshuiyin/auto-claude-code-research-in-sleep · skills/arxiv/SKILL.md · Search, download, and summarize academic papers from arXiv. Use when user says "search arxiv", "download paper", "fetch…
git:20260714.3c58cac · audit A · 18,383 stars
auto-paper-improvement-loop SKILL.md skill
wanshuiyin/auto-claude-code-research-in-sleep · skills/auto-paper-improvement-loop/SKILL.md · Autonomously improve a generated paper via GPT-6-Astra xhigh review → implement fixes → recompile, for 2 rounds. Use…
git:20261031.d419560 · audit A · 18,383 stars
auto-review-loop-llm SKILL.md skill
wanshuiyin/auto-claude-code-research-in-sleep · skills/auto-review-loop-llm/SKILL.md · Autonomous research review loop using any OpenAI-compatible LLM API. Configure via llm-chat MCP server or environment…
git:20260713.e67ae16 · audit A · 18,383 stars
auto-review-loop-minimax SKILL.md skill
wanshuiyin/auto-claude-code-research-in-sleep · skills/auto-review-loop-minimax/SKILL.md · Autonomous multi-round research review loop using MiniMax API. Use when you want to use MiniMax instead of Codex MCP…
git:20260713.e67ae16 · audit A · 18,383 stars
auto-review-loop SKILL.md skill
wanshuiyin/auto-claude-code-research-in-sleep · skills/auto-review-loop/SKILL.md · Autonomous multi-round research review loop. In Copilot CLI it defaults to the native complementary rubber-duck…
git:20261024.f455879 · audit A · 18,383 stars
citation-audit SKILL.md skill
wanshuiyin/auto-claude-code-research-in-sleep · skills/citation-audit/SKILL.md · Zero-context verification that every bibliographic entry in the paper is real, correctly attributed, and used in a…
git:20261019.8fdc2d5 · audit A · 18,383 stars
citation-crosscheck SKILL.md skill
wanshuiyin/auto-claude-code-research-in-sleep · skills/citation-crosscheck/SKILL.md · Double-blind bibliographic cross-check: one agent extracts each cited entry verbatim from the local .bib, a second…
git:20261019.19105bb · audit A · 18,383 stars
claims-drafting SKILL.md skill
wanshuiyin/auto-claude-code-research-in-sleep · skills/claims-drafting/SKILL.md · Draft patent claims for an invention. Use when user says "撰写权利要求", "draft claims", "写权利要求书", "claim drafting", or wants…
git:20261019.8fdc2d5 · audit A · 18,383 stars
comm-lit-review SKILL.md skill
wanshuiyin/auto-claude-code-research-in-sleep · skills/comm-lit-review/SKILL.md · Communications-domain literature review with Claude-style knowledge-base-first retrieval. Use when the task is about…
git:20260702.5d6e40a · audit A · 18,383 stars

Every file in wanshuiyin/auto-claude-code-research-in-sleep

Other files named formula-derivation

formula-derivation SKILL.md skill
wanshuiyin/auto-claude-code-research-in-sleep · skills/formula-derivation/SKILL.md · Structures and derives research formulas when the user wants to 推导公式, build a theory line, organize assumptions, turn…
git:20261006.7fa3a4f · audit A · 18,383 stars
formula-derivation SKILL.md skill
autoconference/autoconference-skill · skills/aris/formula-derivation/SKILL.md · Structures and derives research formulas when the user wants to 推导公式, build a theory line, organize assumptions, turn…
git:20260924.6751570 · audit A · 13 stars

Browse by kind, by grade A, or by owner.